Determinacion De Funciones

“Año del Centenario de Machu Picchu para el Mundo”
UNIVERSIDAD NACIONAL DE PIURA
FACULTAD DE INGENIERIA PESQUERA




TRABAJO ENCARGADO

CURSO: EVALUACIÓN DE RECURSOS
PESQUEROS

DOCENTE: ING. VICTOR JUAREZ PEÑA

ALUMNOS: JACINTO ICANAQUE DIANA
MANRIQUE PUELLES DENNYS
PINTADO TICLIAHUANCA DANNY
RAMIREZ GUTIERREZ OSCAR
SALVADOR CRUZ ELIANASANDOVAL MORE DAVID
SOJO QUEVEDO WILLIAM

PIURA – PERU
2011

TRABAJO ENCARGADO
EVALUACION DE RECURSOS PESQUEROS

DETERMINACION DE:
1. TALLA PROMEDIO PARA DIFERENTES EDADES EN FUNCION DE EDAD Y TALLA
2. PESO PROMEDIO PARA DIFERENTES EDADES EN FUNCION DE EDAD Y PESO
3. PESO PROMEDIO PARA DIFERENTES EDADES EN FUNCION DE TALLA Y PESO
4. DETERMINACION DE LA MORTALIDADTABLA DE DATOS
T (años) | Lt (mm) | Wt (gr) | Nro. de sobrevivientes | Biomasa (Kg) |
0.3 | 40.37 | 1.53 | 38400000 | 58,846 |
0.4 | 49.53 | 3.00 | 36649170 | 110,043 |
0.5 | 57.13 | 4.80 | 34978169 | 167,976 |
0.6 | 63.44 | 6.78 | 33383356 | 226,250 |
0.7 | 68.67 | 8.80 | 31861258 | 280,274 |
0.8 | 73.02 | 10.76 | 30408559 | 327,291 |
0.9 | 76.62 | 12.61 | 29022096 | 366,021 |1.0 | 79.62 | 14.31 | 27698847 | 396,233 |
1.5 | 88.47 | 20.23 | 21934428 | 443,775 |
2.0 | 91.95 | 22.97 | 17369645 | 399,010 |
2.5 | 93.32 | 24.12 | 13754840 | 331,730 |
3.0 | 93.86 | 24.58 | 10892315 | 267,722 |
3.5 | 94.07 | 24.76 | 8625510 | 213,587 |
4.0 | 94.15 | 24.83 | 6830452 | 169,632 |
4.5 | 94.19 | 24.86 | 5408963 | 134,484 |
5.0 | 94.20 | 24.87 | 4283302 | 106,545 |CÁLCULO DE LA TALLA PROMEDIO

PASO 01: APLICAMOS EL MÉTODO DE GULLAND Y HOLD Y CALCULAMOS K y L∞
  | t(años) | Lt(mm) | X = (Lt₁ + Lt₂)/2 | Y = ∆L/∆t | X² | XY |
1 | 0.3 | 40.37 | 44.95 | 91.6 | 2020.50 | 4117.42 |
2 | 0.4 | 49.53 | 53.33 | 76 | 2844.09 | 4053.08 |
3 | 0.5 | 57.13 | 60.285 | 63.1 | 3634.28 | 3803.98 |
4 | 0.6 | 63.44 | 66.055 | 52.3 | 4363.26 | 3454.68 |
5 | 0.7| 68.67 | 70.845 | 43.5 | 5019.01 | 3081.76 |
6 | 0.8 | 73.02 | 74.82 | 36 | 5598.03 | 2693.52 |
7 | 0.9 | 76.62 | 78.12 | 30 | 6102.73 | 2343.60 |
8 | 1.0 | 79.62 | 84.045 | 17.7 | 7063.56 | 1487.60 |
9 | 1.5 | 88.47 | 90.21 | 6.96 | 8137.84 | 627.86 |
10 | 2.0 | 91.95 | 92.635 | 2.74 | 8581.24 | 253.82 |
11 | 2.5 | 93.32 | 93.59 | 1.08 | 8759.09 | 101.08 |
12 | 3.0 | 93.86 | 93.965| 0.42 | 8829.42 | 39.47 |
13 | 3.5 | 94.07 | 94.11 | 0.16 | 8856.69 | 15.06 |
14 | 4.0 | 94.15 | 94.17 | 0.08 | 8867.99 | 7.53 |
15 | 4.5 | 94.19 | 94.195 | 0.02 | 8872.70 | 1.88 |
16 | 5.0 | 94.20 |   |   |   |   |
| | Σ | 1185.325 | 421.66 | 97550.45 | 26082.33 |
| | Promedio | 79.02 | 28.11 |   |   |


b = -1.86

a = 175.37

K = - b K =1.86

L∞ = -a/b L∞ = 94.11

PASO 02: CALCULAMOS “t0” CON EL MÉTODO DE ECUACION INVERSA DE VON BERTALANFFY

  | X = t(años) | Lt(mm) | Y = -ln(1 - Wt/L∞) | XY | X² |
1 | 0.3 | 40.37 | 0.56 | 0.17 | 0.09 |
2 | 0.4 | 49.53 | 0.74 | 0.30 | 0.16 |
3 | 0.5 | 57.13 | 0.93 | 0.46 | 0.25 |
4 | 0.6 | 63.44 | 1.11 | 0.67 | 0.36 |
5 | 0.7 | 68.67 | 1.30 | 0.91 | 0.49 |
6 | 0.8 |73.02 | 1.48 | 1.19 | 0.64 |
7 | 0.9 | 76.62 | 1.67 | 1.50 | 0.81 |
8 | 1.0 | 79.62 | 1.85 | 1.85 | 1 |
9 | 1.5 | 88.47 | 2.76 | 4.14 | 2.25 |
10 | 2.0 | 91.95 | 3.63 | 7.26 | 4 |
11 | 2.5 | 93.32 | 4.42 | 11.04 | 6.25 |
12 | 3.0 | 93.86 | 5.06 | 15.18 | 9 |
13 | 3.5 | 94.07 | 5.49 | 19.21 | 12.25 |
14 | 4.0 | 94.15 | 5.72 | 22.87 | 16 |
15 | 4.5 | 94.19 | 5.86 | 26.35 | 20.25 |
16| 5.0 | 94.20 | 5.89 | 29.47 | 25 |
Σ | 31.2 |   | 48.46 | 142.56 | 98.8 |
Promedio | 1.95 |   | 3.03 |   |   |

b = 1.27


a = 0.56

t0 = -a / b t0 = -0.44


PASO 03: CÁLCULO DE LA TALLA PROMEDIO A DIFERENTES EDADES

  | t(años) | LT(mm) = L∞ (1 – e-k(t-t0)) |
1 | 0.3 | 70.49 |
2 | 0.4 | 74.51 |
3 | 0.5 | 77.84 |
4 | 0.6 | 80.61 |
5 |...